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Publication Date:
June 2007
ISSN:
1615-7168
DOI:
10.1515/ADVGEOM.2007.021

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Managing Editor: Grundhöfer, Theo / Strambach, Karl

Editorial Board Member: Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Penttila, Tim / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Sommese, Andrew J. / Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard / Rosehr, Nils / Bannai, Eiichi

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Hermitian indicator sets

Citation Information: Advances in Geometry. Volume 7, Issue 3, Pages 357–373, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/ADVGEOM.2007.021, June 2007

Publication History:
Received:
2005-06-29
Published Online:
2007-06-28

Abstract

Indicator sets arising from symplectic line-spreads of a 3-dimensional projective space are characterized. Moreover, locally Hermitian ovoids of a Hermitian surface (3, q 2) are studied in terms of “non-equivalent” associated indicator sets. Translation locally Hermitian ovoids of (3, q 2) arising from regular spreads of PG(3, q), Kantor semifield spreads of PG(3, q) and semifield spreads of PG(3, q) with center are also investigated.

Key words: Hermitian surface; symplectic spread; commuting polarities; ovoid; linear set

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